Details

Time bar (total: 4.2s)

sample33.0ms

Algorithm
intervals
Results
8.0ms286×body80valid
7.0ms301×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
5.2b
(/ A (* V l))
15.4b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 72
Calls
3 calls:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune212.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
6.0b
(* (/ 1 V) (/ A l))
15.4b
(sqrt (* (/ 1 V) (/ A l)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×expm1-log1p-u frac-times pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 98
Calls
3 calls:
17.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
17.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
23.0ms
(* (/ 1 V) (/ A l))
53.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0424535
11846470
25001444

prune266.0ms

Filtered
107 candidates to 73 candidates (68.2%)
Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.2b

localize10.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (/ 1 V) (/ A l))
6.0b
(* (/ 1 V) (/ A l))
15.4b
(sqrt (* (/ 1 V) (/ A l)))
15.4b
(sqrt (* (/ 1 V) (/ A l)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
48×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
16×div-exp prod-exp
14×pow1
12×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×sqrt-div
4×expm1-log1p-u frac-times rec-exp sqrt-pow1 1-exp associate-*r/ pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 148
Calls
4 calls:
17.0ms
(* (/ 1 V) (/ A l))
14.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (/ 1 V) (/ A l))
19.0ms
(* (/ 1 V) (/ A l))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify50.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0357762
11561656
25001604

prune516.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.2b

localize10.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (/ 1 V) (/ A l))
6.0b
(* (/ 1 V) (/ A l))
15.4b
(sqrt (* (/ 1 V) (/ A l)))
15.4b
(sqrt (* (/ 1 V) (/ A l)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
48×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
16×div-exp prod-exp
14×pow1
12×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×sqrt-div
4×expm1-log1p-u frac-times rec-exp sqrt-pow1 1-exp associate-*r/ pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 148
Calls
4 calls:
14.0ms
(* (/ 1 V) (/ A l))
17.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (/ 1 V) (/ A l))
19.0ms
(* (/ 1 V) (/ A l))
53.0ms
(sqrt (* (/ 1 V) (/ A l)))
58.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0357762
11561656
25001604

prune479.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.2b

regimes862.0ms

Accuracy

36% (9.5b remaining)

Error of 14.1b against oracle of 4.5b and baseline of 19.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05639
15639

end0.0ms

sample919.0ms

Algorithm
intervals
Results
244.0ms8896×body80valid
228.0ms8970×body80nan